28290100 has 36 divisors (see below), whose sum is σ = 62019468. Its totient is φ = 11200000.

The previous prime is 28290061. The next prime is 28290103. The reversal of 28290100 is 109282.

It can be written as a sum of positive squares in 6 ways, for example, as 685584 + 27604516 = 828^2 + 5254^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28290103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8700 + ... + 11500.

It is an arithmetic number, because the mean of its divisors is an integer number (1722763).

Almost surely, 2^28290100 is an apocalyptic number.

28290100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28290100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31009734).

28290100 is an abundant number, since it is smaller than the sum of its proper divisors (33729368).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

28290100 is a wasteful number, since it uses less digits than its factorization.

28290100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2916 (or 2909 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 28290100 is about 5318.8438593364. The cubic root of 28290100 is about 304.7040037959.

Adding to 28290100 its reverse (109282), we get a palindrome (28399382).

The spelling of 28290100 in words is "twenty-eight million, two hundred ninety thousand, one hundred".